854191994880 has 768 divisors, whose sum is σ = 3259587502080. Its totient is φ = 186856243200.

The previous prime is 854191994879. The next prime is 854191994881. The reversal of 854191994880 is 88499191458.

It is an interprime number because it is at equal distance from previous prime (854191994879) and next prime (854191994881).

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (854191994881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 646624620 + ... + 646625940.

It is an arithmetic number, because the mean of its divisors is an integer number (4244254560).

Almost surely, 2^854191994880 is an apocalyptic number.

854191994880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 854191994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629793751040).

854191994880 is an abundant number, since it is smaller than the sum of its proper divisors (2405395507200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

854191994880 is a wasteful number, since it uses less digits than its factorization.

854191994880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 66.

The spelling of 854191994880 in words is "eight hundred fifty-four billion, one hundred ninety-one million, nine hundred ninety-four thousand, eight hundred eighty".